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5405778576 = 24321125572
BaseRepresentation
bin1010000100011010…
…11010001010010000
3111221201221000010100
411002031122022100
542032334403301
62252224332400
7250650234252
oct50215321220
914851830110
105405778576
11232446a500
12106a474100
13681c44463
14393d2bcd2
152198ac286
hex14235a290

5405778576 has 135 divisors (see below), whose sum is σ = 16658944393. Its totient is φ = 1635173760.

The previous prime is 5405778571. The next prime is 5405778589. The reversal of 5405778576 is 6758775045.

It is a happy number.

The square root of 5405778576 is 73524.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 474368400 + 4931410176 = 21780^2 + 70224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5405778571) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9704890 + ... + 9705446.

Almost surely, 25405778576 is an apocalyptic number.

5405778576 is the 73524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405778576

5405778576 is an abundant number, since it is smaller than the sum of its proper divisors (11253165817).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5405778576 is a wasteful number, since it uses less digits than its factorization.

5405778576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The cubic root of 5405778576 is about 1755.0362220103.

The spelling of 5405778576 in words is "five billion, four hundred five million, seven hundred seventy-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 557 726 792 968 1089 1114 1452 1584 1671 1936 2178 2228 2904 3342 4356 4456 5013 5808 6127 6684 8712 8912 10026 12254 13368 17424 18381 20052 24508 26736 36762 40104 49016 55143 67397 73524 80208 98032 110286 134794 147048 202191 220572 269588 294096 310249 404382 441144 539176 606573 620498 808764 882288 930747 1078352 1213146 1240996 1617528 1861494 2426292 2481992 2792241 3235056 3412739 3722988 4852584 4963984 5584482 6825478 7445976 9705168 10238217 11168964 13650956 14891952 20476434 22337928 27301912 30714651 37540129 40952868 44675856 54603824 61429302 75080258 81905736 112620387 122858604 150160516 163811472 225240774 245717208 300321032 337861161 450481548 491434416 600642064 675722322 900963096 1351444644 1801926192 2702889288 5405778576